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Alex_Xolod [135]
4 years ago
6

A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?

Mathematics
1 answer:
Aloiza [94]4 years ago
5 0

Answer:

151200 ways

Step-by-step explanation:

Well assuming the numbers go from 0 to 9

we have

_ _ _ _ _ _ six spaces

in the first one can go one of the ten so the first one has 10 options

10*_ _ _ _ _

the second one has 9 options because we have used one alredy

and so on

10*9*8*7*6*5=151200

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SUMA Y RESTA DE FRACCIONES
Kitty [74]

Answer:

  • Camila y Hania fueron las que comieron más pastel
  • Entre las tres comieron \frac{5}{6} de pastel
  • Sobró \frac{1}{6} de pastel

Step-by-step explanation:

La pregunta está mal formulada. Debería ser :

A Valentina le tocó 1/6 , a Camila 1/3 y a Hania 2/6 del pastel.

Para responder a la pregunta de quién comió más pastel podemos proceder de varias formas.

Una forma es expresar las fracciones de manera decimal :

Valentina : \frac{1}{6}=0.1666

Camila : \frac{1}{3}=0.3333

Hania : \frac{2}{6}=0.3333

Así nos daríamos cuenta de que Camila y Hania fueron las que comieron más pastel (Vale aclarar que Camila y Hania comieron la misma cantidad).

Otra posible forma es igualando los denominadores de las fracciones y comparando sus numeradores.

Por ejemplo, \frac{1}{3} se puede expresar como \frac{1}{3}=\frac{2}{6} (multiplicamos por dos tanto al numerador como al denominador) ⇒ las nuevas fracciones correspondientes a lo que comió cada una son :

Valentina : \frac{1}{6}

Camila : \frac{2}{6}

Hania : \frac{2}{6}

Dado que todas las fracciones tienen el mismo denominador (seis) comparamos ahora sus numeradores y nos damos cuenta de nuevo que Camila y Hania fueron las que comieron más pastel.

Con las tres fracciones con el mismo denominador (seis) procedemos a responder la segunda pregunta :

¿Qué fracción de pastel comieron entre las tres?

Para averiguarlo sumaremos las fracciones de pastel que comió cada una :

\frac{1}{6}+\frac{2}{6}+\frac{2}{6}=\frac{5}{6}

Encontramos que entre Valentina, Camila y Hania comieron \frac{5}{6} de pastel.

Finalmente, para averiguar que fracción de pastel sobró debemos restarle al total (uno) la fracción de pastel que comieron entre las tres :

1-\frac{5}{6}=\frac{1}{6}

Esto se debe a que el ''uno'' representa el ciento por ciento del pastel (el total). Encontramos que sobró \frac{1}{6} de pastel.

8 0
3 years ago
A manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs
Hitman42 [59]

Answer:

Step-by-step explanation:

Let X be the solvent present

Then given that the manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent.

X is N(101.3, 3.68)

a) P(X>100) = P(Z>\frac{100-101.3}{3.68} =P(Z>-0.35)\\=0.6368

Probability = 0.6368

b) P(X>100)= 0.97 means Z score = 1.88

X=100+1.88(s) =101.3

s=1.3/1.88=0.6914

4 0
4 years ago
At the same time the Eiffel Tower, height 984 feet, casts a 246-foot shadow, a man casts a 1.5-foot shadow.
katrin2010 [14]
The answer is B.) 6 feet
6 0
4 years ago
If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?
Serga [27]

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, a*b = x*y

Thus:

8*5 = 4*(6m - 2)

Solve for m

40 = 24m - 8

40 + 8 = 24m - 8 + 8

48 = 24m

\frac{48}{24} = \frac{24m}{24}

2 = m

The value of m = 2

3 0
3 years ago
A right cone has a radius of 3 feet and a slant height of 6 feet. What's the volume of the cone?
Sav [38]
V≈48.97ft³This is the answer.

8 0
3 years ago
Read 2 more answers
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